Mean-field analysis of an inductive reasoning game: Application to influenza vaccination

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 3, 2007, Pages

  Breban, Romulus ^a   Vardavas, Raffaele ^a   Blower, Sally ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DECISION MAKING; LOGIC PROGRAMMING; MEAN FIELD THEORY; NONLINEAR EQUATIONS; PARAMETER ESTIMATION;

INDUCTIVE REASONING GAMES; INFLUENZA EPIDEMICS;

GAME THEORY;

EID: 34748826913     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.031127     Document Type: Article

References (30)

1. R. Vardavas, R. Breban, and S. Blower, PLOS Comput. Biol. ZZZZZZ 1553-734X 3, e85 (2006).
2. W. B. Arthur, Am. Econ. Rev. ZZZZZZ 0002-8282 84, 406 (1994).
3. D. Challet, M. Marsili, and Y.-C. Zhang, Minority Games (Nova Science Publishers, New York, 2004).
4. E. Moro, in Advances in Condensed Matter and Statistical Physics, edited by, E. Korutcheva, and, R. Cuerno, (Nova, 2004), p. 1.
5. D. Challet and Y. C. Zhang, Physica A PHYADX 0378-4371 10.1016/S0378-4371(97)00419-6 246, 407 (1997).
6. D. Challet, A. Chessa, M. Marsili, and Y. C. Zhang, Quant. Finance ZZZZZZ 1469-7688 1, 168 (2001).
7. P. Y. Geoffard and T. Philipson, Am. Econ. Rev. ZZZZZZ 0002-8282 87, 222 (1997).
8. C. T. Bauch, A. P. Galvani, and D. J. Earn, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.1731324100 100, 10564 (2003).
9. C. T. Bauch and D. J. Earn, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0403823101 101, 13391 (2004).
10. T. D. Szucs and D. Muller, Vaccine VACCDE 0264-410X 10.1016/j.vaccine. 2005.06.005 23, 5055 (2005).
11. N. M. Ferguson, D. A. Cummings, S. Cauchemez, C. Fraser, S. Riley, A. Meeyai, S. Iamsirithaworn, and D. S. Burke, Nature (London) NATUAS 0028-0836 10.1038/nature04017 437, 209 (2005).
12. B. S. Cooper, I. M. Longini, W. J. Edmunds, and N. J. Gay, PLoS Med. PBLIBG 1545-7885 3, e212 (2006).
13. M. E. Halloran and I. M. Longini, Science SCIEAS 0036-8075 10.1126/science.1122143 311, 615 (2006).
14. C. E. Mills, J. M. Robins, and M. Lipsitch, Nature (London) NATUAS 0028-0836 10.1038/nature03063 432, 904 (2004).
15. H. E. Nusse, E. Ott, and J. A. Yorke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.1073 49, 1073 (1994).
16. M. di Bernardo, C. J. Budd, and A. R. Champneys, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2553 86, 2553 (2001).
17. M. Dutta, H. E. Nusse, E. Ott, J. A. Yorke, and G. Yuan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4281 83, 4281 (1999).
18. J. Laugesen and E. Mosekilde, Comput. Oper. Res. CMORAP 0305-0548 10.1016/j.cor.2004.06.016 33, 464 (2006).
19. H. E. Nusse and J. A. Yorke, Physica D PDNPDT 0167-2789 10.1016/0167-2789(92)90087-4 57, 39 (1992).
20. M. di Bernardo, M. I. Feigin, S. J. Hogan, and M. E. Homer, Chaos, Solitons Fractals CSFOEH 0960-0779 10.1016/S0960-0779(98)00317-8 10, 1881 (1999).
21. M. di Bernardo, C. J. Budd, and A. R. Champneys, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(01)00349-9 160, 222 (2001).
22. S. Kraut and U. Feudel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.015207 66, 015207 (R) (2002).
23. P. Reimann, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02183392 82, 1467 (1996).
24. J. C. Sommerer, E. Ott, and C. Grebogi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.1754 43, 1754 (1991).
25. H. McCallum, N. Barlow, and J. Hone, Trends Ecol. Evol. TREEEQ 0169-5347 10.1016/S0169-5347(01)02144-9 16, 295 (2001).
26. W. E. Beyer, I. A. de Bruijn, A. M. Palache, R. G. Westendorp, and A. D. Osterhaus, Arch. Intern Med. AIMDAP 0003-9926 10.1001/archinte.159.2.182 159, 182 (1999).
27. S. A. Harper, K. Fukuda, N. J. Cox, and C. B. Bridges, MMWR Morb Mortal Wkly Rep. ZZZZZZ 0149-2195 52, 1 (2003).
28. CDC, Influenza (flu), http://www.cdc.gov/flu/
29. W. W. Thompson, D. K. Shay, E. Weintraub, L. Brammer, N. Cox, L. J. Anderson, and K. Fukuda, J. Am. Med. Assoc. JAMAAP 0098-7484 10.1001/jama.289.2.179 289, 179 (2003).
30. S. A. Harper, K. Fukuda, T. M. Uyeki, N. J. Cox, and C. B. Bridges, MMWR Morb Mortal Wkly Rep. ZZZZZZ 0149-2195 54, 1 (2005).